A sled with a rider having a 125kg travels over a perfectly smooth icy hill. How

Question

A sled with a rider having a 125kg travels over a perfectly smooth icy hill. How far does the sled land from the foot of the cliff? A 90.0-kg fullback running east with a speed of 5.00 m/s is tackled by a 95.0-kg opponent running north with a speed of 3.00 m/s. (a) Why does the tackle constitute a perfectly inelastic collision? (b) Calculate the velocity of the players immediately after the tackle and (c) determine the kinetic energy that is lost as a result of the collision. A 150kg mass is hanging from a steel cable which is hanging from a rope as shown to the right. What are the three tensions?

Explanation / Answer

here,

3)

let the speed at top of cliff be v

using consevation of energy

0.5 * m * v^2 + m * g * h = 0.5 * m * u^2

0.5 * v^2 + 9.81 * 11 = 0.5 * 22.3^2

v = 16.8 m/s

let the time taken to reach foot of cliff be t

h= 0 + 0.5 *g * t^2

11 = 0 + 0.5 * 9.81 * t^2

t = 1.5 s

the distance from the foot of cliff , x= v * t

x = 16.8 * 1.5 m = 25.2 m

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